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Projections of the sphere graph to the arc graph of a surface
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Bowditch, B. H. and Iezzi, Francesca (2018) Projections of the sphere graph to the arc graph of a surface. Journal of Topology and Analysis, 10 . pp. 245-261. doi:10.1142/S1793525318500115 ISSN 1793-7167.
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Official URL: http://dx.doi.org/10.1142/S1793525318500115
Abstract
Let SS be a compact surface, and MM be the double of a handlebody. Given a homotopy class of maps from SS to MM inducing an isomorphism of fundamental groups, we describe a canonical uniformly Lipschitz retraction of the sphere graph of MM to the arc graph of SS. We also show that this retraction is a uniformly bounded distance from the nearest point projection map.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Topology, Graph theory, Handlebodies | ||||||||
Journal or Publication Title: | Journal of Topology and Analysis | ||||||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||||||
ISSN: | 1793-7167 | ||||||||
Official Date: | June 2018 | ||||||||
Dates: |
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Volume: | 10 | ||||||||
Page Range: | pp. 245-261 | ||||||||
DOI: | 10.1142/S1793525318500115 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 1 November 2016 | ||||||||
Date of first compliant Open Access: | 6 June 2018 | ||||||||
Open Access Version: |
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